Least Common Multiple (LCM) of 177 and 152
The least common multiple (LCM) of 177 and 152 is 26904.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 177 and 152?
First, calculate the GCD of 177 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 152 = 1 remainder 25 |
| 2 | 152 ÷ 25 = 6 remainder 2 |
| 3 | 25 ÷ 2 = 12 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 77 | 8701 |
| 141 and 148 | 20868 |
| 184 and 40 | 920 |
| 29 and 48 | 1392 |
| 19 and 165 | 3135 |